Numerical schemes for 3D parabolic problem with non-local boundary condition

Čiegis, Raimondas

Use this url to cite publication: https://hdl.handle.net/20.500.14911/139155

Numerical schemes for 3D parabolic problem with non-local boundary condition

Details

Publication Type (CRIS)

Straipsnis recenzuojamoje užsienio tarptautinės konferencijos medžiagoje / Article in peer-reviewed foreign international conference proceedings (P1d)

Publication Type (eLABa)

Straipsnis recenzuotame konferencijos darbų leidinyje / Article published in peer-reviewed conference proceedings (P1d)

Author(s)

Author	Affiliation
Čiegis, Raimondas	Matematinio modeliavimo katedra / Department of Mathematical Modelling (1023)

Title

Numerical schemes for 3D parabolic problem with non-local boundary condition

[en]

Raimondas Čiegis

Is part of

17th IMACS World Congress Scientific Computation, Applied Mathematics and Simulation [Elektroninis išteklius] : Paris, France July 11-15, 2005

Published In

Year	Start Page	End Page
2005	1	4

Publisher

Paris : IMACS, 2005

Extent

p. 1-4

URI

URI
https://hdl.handle.net/20.500.14911/139155

Science / Art Area

Gamtos mokslai / Natural Sciences (N)

Field of Science / Art

Matematika / Mathematics (N001)

Abstract (en)

Two nite difference schemes are used to solve the 3D parabolic problem with a non-local boundary condition. A new approximation of the initial condition is proposed for the explicit Euler scheme. Error estimates in the maximum norm are obtained and results of some numerical experiments are presented. The second scheme is the backward Euler scheme. An ef cient realization algorithm is presented. The third scheme is based on implicit splitting method. An ef- cient realization algorithm of the LOD scheme is proposed.